Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. statistics
  3. if you can explain your reasoning that will be app

If you can explain your reasoning that will be appreciated. You have been trapped in a...

80.2K

Verified Solution

Question

Statistics

If you can explain your reasoning that will be appreciated.

You have been trapped in a building with 3 hallways, and each ofthem can lead to freedom.

Unfortunately for you, each of these 3 hallways has 2 doors.Each of the six doors could be

locked or unlocked independent of any other door. To be able toescape to

freedom through a particular hallway, you require that both thedoors in that hallway are

unlocked.

The doors in hallway 1 is independently locked with probability1/2

The doors in hallway 2 is independently locked with probability1/3

The doors in hallway 3 is independently locked with probability1/4

What is the probability that hallway 1 was open (in essence,both doors in hallway A were

unlocked) given that you managed to escape to freedom? Assumethat if a hallway is closed you can go back and try anotherone.

Answer & Explanation Solved by verified expert
4.0 Ratings (409 Votes)
Pmanaged to escape to freedom Pmanaged to escape to freedom hallway 1 was open Phallway    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Medical Sciences
1.2K views

How are neurotransmitters and hormones involved in triggering or medicating emotions

Psychology
1.2K views

Briefly describe the aims of the Surrealists, as defined by Breton in the first “Surrealist Manifesto.”...

Psychology
1.2K views

Read about the Perry Preschool Program in Ypsilanti, Michigan in your text and describe it to...

Electrical Engineering
1.2K views

8. Three 6.6 kV, 12 MVA, 3-phase alternators are connected to a common bus bars. Each...

Biology
1.2K views

What is the name of the specialized cells that divide by meiosis to produce sperm...

Basic Math
1.2K views

You want to have a 95 000 college fund in 10 years How much will...

Basic Math
1.2K views

Let TA 1 3 u 2 and v 2 TA u TA V R2 R...

Accounting
1.2K views

Problem 9-18 (Algo) Activity and Spending Variances [LO9-1, LO9-2, LO9-3] You have just been hired...

Accounting
1.2K views

Fill in the missing amount. Work in process inventory February 1st; $101,000 Work in process...

Accounting
1.2K views

2 the weighted avernge inventory meshe e First in, first out methed o. Specific...

Finance
1.2K views

MACRS depreciation expense and accounting cash flow Pavlovich Instruments, Inc., a maker of precision telescopes,...

Finance
1.2K views

A company has a market value equal to its book value. Currently, the company has...